This paper describes a numerical method for finding good packings in Grassmannian manifolds equipped with various metrics. This investigation also en…

We investigate the singularity formation of a nonlinear nonlocal system. This nonlocal system is a simplified one-dimensional system of the 3D model …

The Immersed Boundary method has evolved into one of the most useful computational methods in studying fluid structure interaction. On the other hand…

Accurate signal recovery or image reconstruction from indirect and possibly undersampled data is a topic of considerable interest; for example, the l…

Periodic nonuniform sampling is a known method to sample spectrally sparse signals below the Nyquist rate. This strategy relies on the implicit assum…

In this paper we present a convergence analysis for the Nystrom method proposed in [Jour. Comput. Phys. 169 pp. 2921-2934, 2001] for the solution of …

Stochastic variational integrators for constrained, stochastic mechanical systems are developed in this paper. The main results of the paper are twof…

The linear inverse source and scattering problems are studied from the perspective of compressed sensing, in particular the idea that sufficient inco…

This paper introduces a geometric method for proving ergodicity of degenerate noise driven stochastic processes. The driving noise is assumed to be a…

This work considers the multiple-access multicast error-correction scenario over a packetized network with $z$ malicious edge adversaries. The networ…

We present fast, spatially dispersionless and unconditionally stable high-order solvers for Partial Differential Equations (PDEs) with variable coeff…

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